关于变分学中逆问题的研究
On the Inverse Problem in Calculus of Variations
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摘要: 本文研究了变分学中的逆问题.通过变积概念的引入,给出了系统地研究变分学中逆问题的一种新途径.将这种方法应用于线弹性动力学和粘性流体力学中,建立了各自的变分原理和广义变分原理.Abstract: The inverse problem in calculus of variation is studied.By introducing a newconcept called Varialional Integral,a new method to systematically study the inverse problem in calculus of rariations is given.Using this new method to the elastodynamics and hydrodynamics of viscous fhuids some kinds of variaiional principles and generalized variational prineiples are obtained respectively.
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Key words:
- variational princple /
- variational integral /
- inverse problem
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